Add to ORKGsummary:Let $r,s,q, m,n\in \Bbb N$ be such that $s\geq r\leq q$. Let $Y$ be a fibered manifold with $m$-dimensional basis and $n$-dimensional fibers. All natural affinors on $(J^{r,s,q}(Y,\Bbb R^{1,1})_0)^*$ are classified. It is deduced that there is no natural generalized connection on \linebreak $(J^{r,s,q}(Y,\Bbb R^{1,1})_0)^*$. Similar problems with $(J^{r,s}(Y,\Bbb R)_0)^*$ instead of $(J^{r,s,q}(Y,\Bbb R^{1,1})_0)^*$ are solved
In this paper we consider the existence problem of affine connections on $C^{k}$-manifolds $M$ whose...
summary:Let $F=F^{(A,H,t)}$ and $F^1=F^{(A^1,H^1,t^1)}$ be fiber product preserving bundle functors ...
summary:For natural numbers $r$ and $n$ and a real number $a$ we construct a natural vector bundle $...
summary:Let $r,s,q, m,n\in \Bbb N$ be such that $s\geq r\leq q$. Let $Y$ be a fibered manifold with ...
summary:For natural numbers $r$ and $n\ge 2$ a complete classification of natural affinors on the na...
summary:All natural affinors on the $r$-th order cotangent bundle $T^{r*}M$ are determined. Basic af...
summary:We deduce that for $n\ge 2$ and $r\ge 1$, every natural affinor on $J^rT$ over $n$-manifolds...
summary:We prove that the problem of finding all ${\mathcal {M} f_m}$-natural operators ${C\colon Q\...
summary:The authors prove that all natural affinors (i.e. tensor fields of type (1,1) on the extende...
summary:Let $G$ be a bundle functor of order $(r,s,q)$, $s\geq r\leq q$, on the category $\Cal F\Cal...
Let \(F\) be a bundle functor on the category of all fibred manifolds and fibred maps. Let \(\Gamma\...
summary:For a vector bundle functor $H:\Cal M f\to \Cal V\Cal B$ with the point property we prove th...
summary:Given a fibered manifold $Y \to X$, a 2-connection on $Y$ means a section $J^1 Y \to J^2 Y$....
summary:We classify all bundle functors $G$ admitting natural operators transforming connections on ...
summary:The author studies the problem how a map $L:M\to\bbfR$ on an $n$-dimensional manifold $M$ ca...
In this paper we consider the existence problem of affine connections on $C^{k}$-manifolds $M$ whose...
summary:Let $F=F^{(A,H,t)}$ and $F^1=F^{(A^1,H^1,t^1)}$ be fiber product preserving bundle functors ...
summary:For natural numbers $r$ and $n$ and a real number $a$ we construct a natural vector bundle $...
summary:Let $r,s,q, m,n\in \Bbb N$ be such that $s\geq r\leq q$. Let $Y$ be a fibered manifold with ...
summary:For natural numbers $r$ and $n\ge 2$ a complete classification of natural affinors on the na...
summary:All natural affinors on the $r$-th order cotangent bundle $T^{r*}M$ are determined. Basic af...
summary:We deduce that for $n\ge 2$ and $r\ge 1$, every natural affinor on $J^rT$ over $n$-manifolds...
summary:We prove that the problem of finding all ${\mathcal {M} f_m}$-natural operators ${C\colon Q\...
summary:The authors prove that all natural affinors (i.e. tensor fields of type (1,1) on the extende...
summary:Let $G$ be a bundle functor of order $(r,s,q)$, $s\geq r\leq q$, on the category $\Cal F\Cal...
Let \(F\) be a bundle functor on the category of all fibred manifolds and fibred maps. Let \(\Gamma\...
summary:For a vector bundle functor $H:\Cal M f\to \Cal V\Cal B$ with the point property we prove th...
summary:Given a fibered manifold $Y \to X$, a 2-connection on $Y$ means a section $J^1 Y \to J^2 Y$....
summary:We classify all bundle functors $G$ admitting natural operators transforming connections on ...
summary:The author studies the problem how a map $L:M\to\bbfR$ on an $n$-dimensional manifold $M$ ca...
In this paper we consider the existence problem of affine connections on $C^{k}$-manifolds $M$ whose...
summary:Let $F=F^{(A,H,t)}$ and $F^1=F^{(A^1,H^1,t^1)}$ be fiber product preserving bundle functors ...
summary:For natural numbers $r$ and $n$ and a real number $a$ we construct a natural vector bundle $...